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Viscoelastic Effective Rheologies for Modelling Wave Propagation in Porous Media by José M. Carcione is a Earth and Planetary Sciences article available to read on EtoBox.

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Biot's poroelastic differential equations are modified for including matrix–fluid interaction mechanisms. The description is phenomenological and assumes a solid–fluid relaxation function coupling coefficient. The model satisfies basic physical properties such as, for instance, that P‐wave velocities at low frequencies are lower than those predicted by Biot's theory. In many cases, the results obtained with the Biot (two‐phase) modelling are equal to those obtained with single‐phase __elastic__ modelling, mainly at seismic frequencies. However, a correct equivalence is obtained with a __viscoelastic__ rheology, which requires one relaxation peak for each Biot (P and S) mechanism. The standard viscoelastic model, which generalizes compressibility and shear modulus to relaxation functions, is not appropriate for modelling the Biot complex moduli, since Biot's attenuation is of a kinetic nature (i.e. it is not related to bulk deformations). The problem is solved by associating relaxation functions with each wave modulus. The equivalence between the two modelling approaches is investigated for a homogeneous water‐filled sandstone and a periodically layered poroelastic medium, alternate

Who reads Viscoelastic Effective Rheologies for Modelling Wave Propagation in Porous Media?

Author

José M. Carcione

Publisher

John Wiley and Sons; Wiley (Blackwell Publishing); Blackwell Publishing Inc.; Wiley (ISSN 0016-8025)

Published

1998

Language

EN

Field

Earth and Planetary Sciences (Physical Sciences)